64 citations · 125 across the 5 of their papers we have counts for
4 papers · 1 filter
Stability criteria for rough systems
Luu Hoang Duc, Phan Thanh Hong, Nguyen Dinh Cong
We propose a quantitative direct method to prove the local stability of a stationary solution for a rough differential equation and its regular discretization scheme. Using Doss-Su…
Lyapunov spectrum of nonautonomous linear Young differential equations
Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong
We show that a linear Young differential equation generates a topological two-parameter flow, thus the notions of Lyapunov exponents and Lyapunov spectrum are well-defined. The spe…
Generation of nonlocal fractional dynamical systems by fractional differential equations
N. D. Cong, H. T. Tuan
We show that any two trajectories of solutions of a one-dimensional fractional differential equation (FDE) either coincide or do not intersect each other. In contrary, in the highe…
Linearized Asymptotic Stability for Fractional Differential Equations
N. D. Cong, T. S. Doan, S. Siegmund +1
We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differen…